125431440 has 160 divisors (see below), whose sum is σ = 418473216. Its totient is φ = 30965760.

The previous prime is 125431429. The next prime is 125431451. The reversal of 125431440 is 44134521.

It is an interprime number because it is at equal distance from previous prime (125431429) and next prime (125431451).

It is a super-2 number, since 2×125431440² = 31466092280947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 125431440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289464 + ... + 289896.

Almost surely, 2^125431440 is an apocalyptic number.

125431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209236608).

125431440 is an abundant number, since it is smaller than the sum of its proper divisors (293041776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125431440 is a wasteful number, since it uses less digits than its factorization.

125431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 125431440 is about 11199.6178506233. The cubic root of 125431440 is about 500.5745927667.

Adding to 125431440 its reverse (44134521), we get a palindrome (169565961).

The spelling of 125431440 in words is "one hundred twenty-five million, four hundred thirty-one thousand, four hundred forty".